Parabolic complex Monge-Amp\`ere equations on compact Hermitian manifolds
Analysis of PDEs
2020-06-18 v3 Complex Variables
Abstract
We prove the long-time existence and convergence of solutions to a general class of parabolic equations, not necessarily concave in the Hessian of the unknown function, on a compact Hermitian manifold. The limiting function is identified as the solution of an elliptic complex Monge-Amp\`ere equation.
Keywords
Cite
@article{arxiv.2004.02736,
title = {Parabolic complex Monge-Amp\`ere equations on compact Hermitian manifolds},
author = {Kevin Smith},
journal= {arXiv preprint arXiv:2004.02736},
year = {2020}
}